1036161181440 has 1728 divisors, whose sum is σ = 4714085376000. Its totient is φ = 208089907200.

The previous prime is 1036161181403. The next prime is 1036161181441. The reversal of 1036161181440 is 441811616301.

1036161181440 is a `hidden beast` number, since 1 + 0 + 36 + 1 + 6 + 1 + 181 + 440 = 666.

It is a super-3 number, since 3×1036161181440³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1036161181395 and 1036161181404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036161181441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1347413376 + ... + 1347414144.

Almost surely, 2^{1036161181440} is an apocalyptic number.

1036161181440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036161181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357042688000).

1036161181440 is an abundant number, since it is smaller than the sum of its proper divisors (3677924194560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1036161181440 is a wasteful number, since it uses less digits than its factorization.

1036161181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 1036161181440 its reverse (441811616301), we get a palindrome (1477972797741).

The spelling of 1036161181440 in words is "one trillion, thirty-six billion, one hundred sixty-one million, one hundred eighty-one thousand, four hundred forty".